BECE 2013 Mathematics (Maths) Paper 2 Essay
BECE Past Questions and Answers
BECE 2013 Maths
MATHEMATICS (Maths)
ESSAY (Paper 2)
Answer four questions only.
All questions carry equal marks.
All working must be clearly shown.
Marks will not be awarded for correct answers without corresponding working
1. (a) Fifty students in a class took an examination in French and Mathematics. If 14 of them passed French only, 23 passed in both French and Mathematics and 5 of them failed in both subjects, find
(i) the number of students who passed in French
(ii) the probability of selecting a student who passed in Mathematics
(b) Solve the inequality 2x – 1 ½ ≥ 5x - 6
2. (a) Convert 444five to a base two numeral.
(b) A man had three GHc 50.00, seven GHc 20.00 and five GHc 10.00 notes in his pocket. If he bought a bicycle for GHc 150.00 and two mobile phones at GHc 80.00 each, how many GHc 20.00 and GHc 10.00 notes did he have left?
3. (a) Using a ruler and a pair of compasses only,
(i) construct a triangle XYZ with length XY = 7 cm, length YZ = 5cm and angle XYZ = 45°
(ii) Measure and write down the length of XZ
(b) Given that the circumference of a circle is 44 cm, find
(i) the radius of the circle
(ii) the area of the circle [Take π = 22/7]
4. The table shows the distribution of marks of students in a class test
Mark
|
1
|
2
|
3
|
4
|
5
|
6
|
Frequency
|
5
|
6
|
5
|
3
|
4
|
2
|
(a) Using a graph sheet, draw a bar chart for the distribution.
(b) Calculate the mean mark of the distribution correct to the nearest whole number.
5.
(b) Copy and complete the magic square so that the sum of numbers in each row or column or diagonal is 18.
4
| ||
7
|
8
|
(c) Find the sum of all the factors of 24.
6. (a) Copy and complete the table for the relation y = 2x+5
X
|
-3
|
-2
|
-1
|
0
|
1
|
2
|
3
|
4
|
Y
|
-1
|
1
|
5
|
13
|
(b) (i) Using a scale of 2cm to 2 units on both axes, draw two perpendicular axes OX and OY on a graph sheet.
(ii) Mark the x-axis from -6 to 10 and y-axis from -6 to 14.
(iii) Using the table, plot all the points of the relation y = 2x +5 on the graph.
(iv) Draw a straight line through the points.
(c) Use the graph to find
(i) y when x = 1.6
(ii) x when y = 10
Answers and Solutions to BECE 2013 Maths Paper 2
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